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5(1+cosx)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
5*(1 + cos(x)) = 0
$$5 \left(\cos{\left(x \right)} + 1\right) = 0$$
Solución detallada
Tenemos la ecuación
$$5 \left(\cos{\left(x \right)} + 1\right) = 0$$
es la ecuación trigonométrica más simple
Transportemos 5 al miembro derecho de la ecuación

cambiando el signo de 5

Obtenemos:
$$5 \left(\cos{\left(x \right)} + 1\right) - 5 = -5$$
Dividamos ambos miembros de la ecuación en 5

La ecuación se convierte en
$$\cos{\left(x \right)} = -1$$
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
O
$$x = \pi n + \pi$$
$$x = \pi n$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = pi
$$x_{1} = \pi$$
x1 = pi
Suma y producto de raíces [src]
suma
pi
$$\pi$$
=
pi
$$\pi$$
producto
pi
$$\pi$$
=
pi
$$\pi$$
pi
Respuesta numérica [src]
x1 = 91.1061873718352
x2 = -91.106187265474
x3 = -21.9911490521325
x4 = 65.9734452390837
x5 = -9.42477744529557
x6 = -15.7079635641079
x7 = -34.5575188899093
x8 = -53.4070745786761
x9 = 9.42477748794163
x10 = 34.5575197055812
x11 = 21.9911489072506
x12 = 9.42477826738203
x13 = 65.9734460390947
x14 = -21.9911485864417
x15 = 34.5575195449229
x16 = 72.2566310277176
x17 = -1127.83176318906
x18 = -84.8230012511693
x19 = -72.2566308657983
x20 = -47.1238893275319
x21 = 3.14159306054457
x22 = -9.4247781365785
x23 = -40.8407049290801
x24 = -15.7079632965989
x25 = -53.4070745963886
x26 = 34.5575190219169
x27 = 28.2743343711514
x28 = 40.8407045848602
x29 = 65.9734457529812
x30 = -84.8230020565447
x31 = 78.5398161804942
x32 = 72.2566315166773
x33 = -59.6902606928653
x34 = 3.1415922548952
x35 = 84.8230021335997
x36 = 59.6902606104322
x37 = 78.5398166181283
x38 = -91.1061864815274
x39 = 15.7079627593774
x40 = -47.1238901083229
x41 = 15.7079629803241
x42 = 40.8407045792514
x43 = 47.1238902162437
x44 = 97.389372581711
x45 = -28.2743337069329
x46 = -65.9734457649277
x47 = 28.2743335663982
x48 = -97.3893724533348
x49 = -97.3893716284562
x50 = -15.707962774825
x51 = -59.6902604578012
x52 = -72.2566311847166
x53 = -3.14159217367683
x54 = 78.5398168562347
x55 = 15.7079634518075
x56 = -28.2743340989896
x57 = -34.5575196658297
x58 = 40.8407049800347
x59 = 21.9911480932338
x60 = 84.8230013636028
x61 = -40.8407049008781
x62 = 59.6902599104079
x63 = -97.3893717476911
x64 = 53.4070746418597
x65 = -40.8407040952604
x66 = -78.5398160472843
x67 = 97.3893717959212
x68 = 28.2743338651796
x69 = 91.1061865667532
x70 = -65.9734453607004
x71 = -28.2743343914215
x72 = -3.14159295109225
x73 = 40.8407042062167
x74 = -53.407075294995
x75 = -21.991148226056
x76 = 15.707963957033
x77 = 59.6902600526626
x78 = -72.2566315419804
x79 = 21.9911485852059
x80 = 72.2566306985
x81 = -78.5398168194507
x82 = -65.9734461969855
x83 = 47.123889410773
x84 = 53.407075424589
x85 = -59.6902599212271
x86 = -9.42477752082051
x86 = -9.42477752082051